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Finding the Fourth Proportional to 8,097.17, 11,173.93 and 4,560.30

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Solution

The fourth proportional to 8,097.17, 11,173.93 and 4,560.30 is: 6,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.17 : 11,173.93 = 4,560.30 : x
  2. Step 2: Convert to fraction form
    8,097.17/11,173.93 = 4,560.30/x
  3. Step 3: Cross multiply
    8,097.17x = 11,173.93 × 4,560.30
  4. Step 4: Simplify right side
    8,097.17x = 50,956,461.58
  5. Step 5: Solve for x
    x = 50,956,461.58/8,097.17
  6. Step 6: Final answer
    x = 6,293.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.